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Finding the Fourth Proportional to 5,240.64, 7,860.42 and 1,730.52

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Solution

The fourth proportional to 5,240.64, 7,860.42 and 1,730.52 is: 2,595.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,240.64 : 7,860.42 = 1,730.52 : x
  2. Step 2: Convert to fraction form
    5,240.64/7,860.42 = 1,730.52/x
  3. Step 3: Cross multiply
    5,240.64x = 7,860.42 × 1,730.52
  4. Step 4: Simplify right side
    5,240.64x = 13,602,614.02
  5. Step 5: Solve for x
    x = 13,602,614.02/5,240.64
  6. Step 6: Final answer
    x = 2,595.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.